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AREA OF PLANE FIGURES

1. A lawn in the form of a rectangle is half as long again as it is broad. The area of the lawn is 2/3 hectares. The length of the lawn is:(a) 100 meters (b) 100/3 meters (c) 150 meters (d) 50 meters

2. The length of a rectangle is increased by 60%. By what percent would the width have to be decreased to maintain the same area?(a) 37.5% (b) 60% (c) 75% (d) 120%

3. A 5 m wide lawn is cultivated all along the outside of a rectangular plot measuring90 m x 40 m. The total area of the lawn is: (in m2)

(a) 1200 (b) 1300 (c) 1350 (d) 1400

4. If the length of a rectangle is increased by 12½% and the width increased by 6¼%, the area of the rectangle will:(a) increase by 19.53% (b) decrease by 6.25% (c) increase by 19.75% (d) increase by 19.92%

5. A rectangle is having 15 cm as its length and 150 cm2 as its area. Its area is increased to 1 (1/3) times the original area by increasing only its length. Its new perimeter is:(a) 50 cm (b) 60 cm (c) 70 cm (d) 80 cm

6. A man drives 4 km distance to go around a rectangular park. If the area of the rectangle is 0.75 sq. km, the difference between the length and the breadth of the rectangle is:(a) 10.25 km (b) 0.5 km (c) 1 km (d) 2.75 km

7. The length and breadth of a rectangular piece of land are in the ratio of 5 : 3. The owner spent Rs30000 for surrounding it from all the sides at the rate of Rs75 per meter. The difference between length & breadth is:(a) 50 m (b) 100 m (c) 200 m (d) 150 m

8. The length and breadth of a square are increased by 40% and 30% respectively. The area of resulting rectangle exceeds the area of the square by:(a) 42% (b) 62% (c) 82% (d) 90%

9. If the side of a square be increased by 50%, the percent increase in area is:(a) 50 (b) 100 (c) 125 (d) 150

10. The length of a square is increased by 40% while breadth is decreased by 40%. The ratio of area of the resulting rectangle so formed to that of the original square is:(a) 25 : 21 (b) 21 : 25 (c) 16 : 15 (d) 15 : 16

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11. If the ratio of areas of two squares is 9 : 1, the ratio of their perimeters is:(a) 9 : 1 (b) 3 : 4 (c) 3 : 1 (d) 1 : 3

12. The length and breadth of a room are 10 m 75 cm and 8 m 25 cm respectively. The floor is to be paved with square tiles of the largest possible size. The size of the tiles is:(a) 25 cm x 25 cm (b) 50 cm x 50 cm(c) 20 cm x 20 cm (d) 30 cm x 30 cm

13. If each of the dimensions of a rectangle is increased by 100%, its area is increased by:(a) 100% (b) 200% (c) 300% (d) 400%

14. If the sides of a triangle are doubled, its area(a) remains the same (b) becomes double (c) becomes 3 times (d) becomes 4 times

15. Each side of an equilateral triangle is increased by 1.5%. The percentage increase in its area is: (a) 1.5% (b) 3% (c) 4.5% (d) 5.7%

16. The perimeter of an isosceles triangle is equal to 14 cm; the lateral side is to the base in the ratio 5 to 4. The area, in square cm, of the triangle is:(a) √21 (b) 2√21 (c) (3/2)√21 (d) 5√21

17. If a square and a rhombus stand on the same base, then the ratio of areas of square and rhombus is:(a) greater than 1 (b) equal to 1/2 (c) equal to 1/4 (d) equal to 1

18. If the radius of a circle be reduced by 50%, its area is reduced by:(a) 25% (b) 75% (c) 50% (d) 100%

19. The radius of a circle is increased so that its circumference increases by 5%. The area of the circle will increase by: (a) 10% (b) 10.25% (c) 8.75% (d) 10.5%

20. A circular disc of area 0.49 m2 rolls down a length of 1.76 kms. The number of revolutions it makes is:(a) 300 (b) 400 (c) 600 (d) 4000

21. A wheel makes 100 revolutions in covering a distance of 88 km. The diameter of the wheel is:(a) 240 meters (b) 400 meters (c) 280 meters (d) 140 meters

22. If the wheel of the engine of a train 4 (2/7) meters in circumference makes seven revolutions in 4 seconds, the speed of the train in km/hr is:


(a) 35 (b) 32 (c) 27 (d) 20

23. The length of a minute hand on a wall clock is 7 cms. The area swept by the minute hand in 30 minutes is: (in square cms)(a) 147 (b) 210 (c) 154 (d) 77

24. Four circular cardboard pieces each of radius 7 cm are placed in such a way that each piece touches two other pieces. The area of the space enclosed by 4 pieces is: (in square centimeters)(a) 38 (b) 42 (c) 45 (d) 54

25. A plot of land is in the shape of a right angled isosceles triangle. The length of hypotenuse is 50√2 meters. The cost of fencing is Rs30 per meter. The cost of fencing the plot will be:(a) less than Rs3000 (b) less than Rs4000 (c) more than Rs5000 (d) more than Rs6000

26. If the side of an equilateral triangle is decreased by 20% its area is decreased by(a) 36% (b) 64% (c) 40% (d) 60%

27. If the height of a triangle is decreased by 40% and its base is increased by 40%, what will be the effect on its area?(a) No change (b) 16% increase (c) 8% decrease (d) 16%

decrease

28. The length of a rectangle is halved, while its breadth is tripled, what is the percentage change in area? (a) 50% increase (b) 50% decrease (c) 25% increase (d) 75%

decrease

29. A took 15 sec to cross a rectangular field diagonally walking at the rate of 52meters/min and B took the same time to cross the same field along its sides walking at the rate of 68meters/min. The area of the field in square meters is(a) 30 (b) 40 (c) 50 (d) 60

30. The length of a rectangle is decreased by r% and the breadth is increased by (r + 5)%. Find r, if the area of the rectangle is unaltered?(a) 20 (b) 15 (c) 10 (d) 5

1.a 2.a 3.d 4.a 5.b 6.c 7.a 8.c 9.c 10.b 11.c 12.a 13.c 14.d 15.a 16.b 17.a 18.b 19.b 20.b 21.c22.c 23.d 24.b 25.c 26.a 27.d 28.a 29.d 30.a


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